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Finding the Fourth Proportional to 4,659.48, 6,992.16 and 4,221.60

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Solution

The fourth proportional to 4,659.48, 6,992.16 and 4,221.60 is: 6,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.48 : 6,992.16 = 4,221.60 : x
  2. Step 2: Convert to fraction form
    4,659.48/6,992.16 = 4,221.60/x
  3. Step 3: Cross multiply
    4,659.48x = 6,992.16 × 4,221.60
  4. Step 4: Simplify right side
    4,659.48x = 29,518,102.66
  5. Step 5: Solve for x
    x = 29,518,102.66/4,659.48
  6. Step 6: Final answer
    x = 6,335.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.